IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v243y2015i1p61-69.html
   My bibliography  Save this article

A dynamic programming approach for the aircraft landing problem with aircraft classes

Author

Listed:
  • Lieder, Alexander
  • Briskorn, Dirk
  • Stolletz, Raik

Abstract

The capacity of a runway system represents a bottleneck at many international airports. The current practice at airports is to land approaching aircraft on a first-come, first-served basis. An active rescheduling of aircraft landing times increases runway capacity or reduces delays. The problem of finding an optimal schedule for aircraft landings is referred to as the “aircraft landing problem”. The objective is to minimize the total delay of aircraft landings or the respective cost. The necessary separation time between two operations must be met. Due to the complexity of this scheduling problem, recent research has been focused on developing heuristic solution approaches. This article presents a new algorithm that is able to create optimal landing schedules on multiple independent runways for aircraft with positive target landing times and limited time windows. Our numerical experiments show that problems with up to 100 aircraft can be optimally solved within seconds.

Suggested Citation

  • Lieder, Alexander & Briskorn, Dirk & Stolletz, Raik, 2015. "A dynamic programming approach for the aircraft landing problem with aircraft classes," European Journal of Operational Research, Elsevier, vol. 243(1), pages 61-69.
    • Handle: RePEc:eee:ejores:v:243:y:2015:i:1:p:61-69
    DOI: 10.1016/j.ejor.2014.11.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221714009503
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2014.11.027?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hamsa Balakrishnan & Bala G. Chandran, 2010. "Algorithms for Scheduling Runway Operations Under Constrained Position Shifting," Operations Research, INFORMS, vol. 58(6), pages 1650-1665, December.
    2. Julia Bennell & Mohammad Mesgarpour & Chris Potts, 2013. "Airport runway scheduling," Annals of Operations Research, Springer, vol. 204(1), pages 249-270, April.
    3. Harilaos N. Psaraftis, 1980. "A Dynamic Programming Approach for Sequencing Groups of Identical Jobs," Operations Research, INFORMS, vol. 28(6), pages 1347-1359, December.
    4. J E Beasley & J Sonander & P Havelock, 2001. "Scheduling aircraft landings at London Heathrow using a population heuristic," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 483-493, May.
    5. Soomer, M.J. & Franx, G.J., 2008. "Scheduling aircraft landings using airlines' preferences," European Journal of Operational Research, Elsevier, vol. 190(1), pages 277-291, October.
    6. C. S. Venkatakrishnan & Arnold Barnett & Amedeo R. Odoni, 1993. "Landings at Logan Airport: Describing and Increasing Airport Capacity," Transportation Science, INFORMS, vol. 27(3), pages 211-227, August.
    7. Artiouchine, Konstantin & Baptiste, Philippe & Dürr, Christoph, 2008. "Runway sequencing with holding patterns," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1254-1266, September.
    8. Rossi, Fabrizio & Smriglio, Stefano, 2001. "A set packing model for the ground holding problem in congested networks," European Journal of Operational Research, Elsevier, vol. 131(2), pages 400-416, June.
    9. Pinol, H. & Beasley, J.E., 2006. "Scatter Search and Bionomic Algorithms for the aircraft landing problem," European Journal of Operational Research, Elsevier, vol. 171(2), pages 439-462, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Han Zhong & Wei Guan & Wenyi Zhang & Shixiong Jiang & Lingling Fan, 2018. "A bi-objective integer programming model for partly-restricted flight departure scheduling," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-18, May.
    2. Rakesh Prakash & Jitamitra Desai & Rajesh Piplani, 2022. "An optimal data-splitting algorithm for aircraft sequencing on a single runway," Annals of Operations Research, Springer, vol. 309(2), pages 587-610, February.
    3. Marie-Sklaerder Vié & Nicolas Zufferey & Roel Leus, 2022. "Aircraft landing planning under uncertain conditions," Journal of Scheduling, Springer, vol. 25(2), pages 203-228, April.
    4. Dönmez, Kadir & Çetek, Cem & Kaya, Onur, 2022. "Air traffic management in parallel-point merge systems under wind uncertainties," Journal of Air Transport Management, Elsevier, vol. 104(C).
    5. Guépet, Julien & Briant, Olivier & Gayon, Jean-Philippe & Acuna-Agost, Rodrigo, 2017. "Integration of aircraft ground movements and runway operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 104(C), pages 131-149.
    6. Lieder, Alexander & Stolletz, Raik, 2016. "Scheduling aircraft take-offs and landings on interdependent and heterogeneous runways," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 167-188.
    7. Zhang, Junfeng & Zhao, Pengli & Zhang, Yu & Dai, Ximei & Sui, Dong, 2020. "Criteria selection and multi-objective optimization of aircraft landing problem," Journal of Air Transport Management, Elsevier, vol. 82(C).
    8. Bo Xu & Weimin Ma & Hui Huang & Lei Yue, 2016. "Weighted Constrained Position Shift Model for Aircraft Arrival Sequencing and Scheduling Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-22, August.
    9. Pasquale Avella & Maurizio Boccia & Carlo Mannino & Igor Vasilyev, 2017. "Time-Indexed Formulations for the Runway Scheduling Problem," Transportation Science, INFORMS, vol. 51(4), pages 1196-1209, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ghoniem, Ahmed & Farhadi, Farbod & Reihaneh, Mohammad, 2015. "An accelerated branch-and-price algorithm for multiple-runway aircraft sequencing problems," European Journal of Operational Research, Elsevier, vol. 246(1), pages 34-43.
    2. Marie-Sklaerder Vié & Nicolas Zufferey & Roel Leus, 2022. "Aircraft landing planning under uncertain conditions," Journal of Scheduling, Springer, vol. 25(2), pages 203-228, April.
    3. Samà, Marcella & D’Ariano, Andrea & D’Ariano, Paolo & Pacciarelli, Dario, 2017. "Scheduling models for optimal aircraft traffic control at busy airports: Tardiness, priorities, equity and violations considerations," Omega, Elsevier, vol. 67(C), pages 81-98.
    4. Julia Bennell & Mohammad Mesgarpour & Chris Potts, 2013. "Airport runway scheduling," Annals of Operations Research, Springer, vol. 204(1), pages 249-270, April.
    5. Bennell, Julia A. & Mesgarpour, Mohammad & Potts, Chris N., 2017. "Dynamic scheduling of aircraft landings," European Journal of Operational Research, Elsevier, vol. 258(1), pages 315-327.
    6. Chandra, Aitichya & Choubey, Nipun & Verma, Ashish & Sooraj, K.P., 2024. "Quasi-stochastic optimization model for time-based arrival scheduling considering Standard Terminal Arrival (STAR) track time and a new delay-conflict relationship," Journal of Air Transport Management, Elsevier, vol. 115(C).
    7. Ahmed Ghoniem & Hanif D. Sherali & Hojong Baik, 2014. "Enhanced Models for a Mixed Arrival-Departure Aircraft Sequencing Problem," INFORMS Journal on Computing, INFORMS, vol. 26(3), pages 514-530, August.
    8. Bo Xu & Weimin Ma & Hui Huang & Lei Yue, 2016. "Weighted Constrained Position Shift Model for Aircraft Arrival Sequencing and Scheduling Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-22, August.
    9. Faye, Alain, 2015. "Solving the Aircraft Landing Problem with time discretization approach," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1028-1038.
    10. Lieder, Alexander & Stolletz, Raik, 2016. "Scheduling aircraft take-offs and landings on interdependent and heterogeneous runways," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 167-188.
    11. Rakesh Prakash & Jitamitra Desai & Rajesh Piplani, 2022. "An optimal data-splitting algorithm for aircraft sequencing on a single runway," Annals of Operations Research, Springer, vol. 309(2), pages 587-610, February.
    12. Ng, K.K.H. & Lee, C.K.M. & Chan, Felix T.S. & Qin, Yichen, 2017. "Robust aircraft sequencing and scheduling problem with arrival/departure delay using the min-max regret approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 115-136.
    13. A R Brentnall & R C H Cheng, 2009. "Some effects of aircraft arrival sequence algorithms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(7), pages 962-972, July.
    14. Hancerliogullari, Gulsah & Rabadi, Ghaith & Al-Salem, Ameer H. & Kharbeche, Mohamed, 2013. "Greedy algorithms and metaheuristics for a multiple runway combined arrival-departure aircraft sequencing problem," Journal of Air Transport Management, Elsevier, vol. 32(C), pages 39-48.
    15. Pohl, Maximilian & Artigues, Christian & Kolisch, Rainer, 2022. "Solving the time-discrete winter runway scheduling problem: A column generation and constraint programming approach," European Journal of Operational Research, Elsevier, vol. 299(2), pages 674-689.
    16. Senay Solak & Gustaf Solveling & John-Paul B. Clarke & Ellis L. Johnson, 2018. "Stochastic Runway Scheduling," Transportation Science, INFORMS, vol. 52(4), pages 917-940, August.
    17. Dixit, Aasheesh & Jakhar, Suresh Kumar, 2021. "Airport capacity management: A review and bibliometric analysis," Journal of Air Transport Management, Elsevier, vol. 91(C).
    18. Pohl, Maximilian & Kolisch, Rainer & Schiffer, Maximilian, 2021. "Runway scheduling during winter operations," Omega, Elsevier, vol. 102(C).
    19. J E Beasley & M Krishnamoorthy & Y M Sharaiha & D Abramson, 2004. "Displacement problem and dynamically scheduling aircraft landings," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(1), pages 54-64, January.
    20. Marcella Samà & Andrea D’Ariano & Konstantin Palagachev & Matthias Gerdts, 2019. "Integration methods for aircraft scheduling and trajectory optimization at a busy terminal manoeuvring area," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(3), pages 641-681, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:243:y:2015:i:1:p:61-69. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.